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Finding the Fourth Proportional to 199,411.84, 275,188.48 and 114,534.40

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Solution

The fourth proportional to 199,411.84, 275,188.48 and 114,534.40 is: 158,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.84 : 275,188.48 = 114,534.40 : x
  2. Step 2: Convert to fraction form
    199,411.84/275,188.48 = 114,534.40/x
  3. Step 3: Cross multiply
    199,411.84x = 275,188.48 × 114,534.40
  4. Step 4: Simplify right side
    199,411.84x = 31,518,547,443.71
  5. Step 5: Solve for x
    x = 31,518,547,443.71/199,411.84
  6. Step 6: Final answer
    x = 158,057.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.